Inverse of a Function

Question 1

The formula for converting a temperature in degrees Celsius to degrees Fahrenheit is F(C)= C + 32. The inverse function will convert a temperature in degrees Fahrenheit to degrees Celsius. What is the formula for converting from degrees Fahrenheit to degrees Celsius? C(F) = F – .

Revolt · Accepted Answer

Part 1: 5/9; Part 2: 166114

Question 2

Question 2

Revolt · Accepted Answer

160/9

Question 3

Consider the graph shown. Which ordered pairs are on the inverse of the function? Check all that apply.

Revolt · Accepted Answer

(–5, –2); (0, –1); (1, 0); (4, 1)

Question 4

Find the following values of the function. f -1 = f -1 (8) =

Revolt · Accepted Answer

Part 1: 2; Part 2: 6

Question 5

Consider the function show. Explain why the graph of a function and its inverse are reflections over the line y = x.

Revolt · Accepted Answer

The ordered pairs (a, b) of a function are (b, a) for the inverse function.

Question 6

Given the function f(x) = 4x, which statements are true? Check all that apply.

Revolt · Accepted Answer

The additive inverse is –4x.; The multiplicative inverse is .; f Superscript negative 1 Baseline (x) = one-fourth x

Question 7

What is the inverse function of g(x)?

Revolt · Accepted Answer

g–1(x) = – 2(x – 3)

Question 8

What is the inverse function of f(x)?

Revolt · Accepted Answer

, x ≥ 0

Question 9

Consider the function shown. How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?

Revolt · Accepted Answer

x > 2;

Question 10

If f(x) = 6x – 1 and , which expressions can be used to verify g(x) is the inverse of f(x)? Check all that apply.

Revolt · Accepted Answer

StartFraction (6 x minus 1) + 1 Over 6 EndFraction; 6

Inverse of a Function Answers

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